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Finding the Third Proportional to 117,201,590 and 172,414,722

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Solution

The third proportional to 117,201,590 and 172,414,722 is: 253,638,507.48

Step by Step Solution

  1. Step 1: Write the proportion equation
    117,201,590 : 172,414,722 = 172,414,722 : x
  2. Step 2: Convert to fraction form
    117,201,590/172,414,722 = 172,414,722/x
  3. Step 3: Cross multiply
    117,201,590x = 172,414,722 × 172,414,722
  4. Step 4: Simplify right side
    117,201,590x = 29,726,836,362,337,284
  5. Step 5: Solve for x
    x = 29,726,836,362,337,284/117,201,590
  6. Step 6: Final answer
    x = 253,638,507.48

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Why These Related Problems?

These problems maintain the same ratio (1.47) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.